Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 980987, 11 pages
Research Article

A New Approach for the Solution of the Electrostatic Potential Differential Equations

Department of Mathematics, Hashemit University, Zarqa-Jordan P.O. Box 150459, Zarqa 13115, Jordan

Received 18 January 2009; Revised 5 July 2009; Accepted 14 September 2009

Academic Editor: Mohammad Younis

Copyright © 2009 Fadi Awawdeh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is focused on deriving an explicit analytical solution for the prediction of the electrostatic potential, commonly used on electrokinetic research and its related applications. Different from all other analytic techniques, this approach provides a simple way to ensure the convergence of series of solution so that one can always get accurate enough approximations. This new approach can be a useful tool in electrical field applications such as the separation of a mixture of macromolecules and the removal of contaminants in soil cleaning processes.